146121840 has 160 divisors (see below), whose sum is σ = 512020800. Its totient is φ = 38292480.

The previous prime is 146121823. The next prime is 146121847. The reversal of 146121840 is 48121641.

It is a happy number.

146121840 is a `hidden beast` number, since 1 + 4 + 612 + 1 + 8 + 40 = 666.

146121840 is nontrivially palindromic in base 11.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146121847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131206 + ... + 132314.

It is an arithmetic number, because the mean of its divisors is an integer number (3200130).

Almost surely, 2^146121840 is an apocalyptic number.

146121840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146121840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256010400).

146121840 is an abundant number, since it is smaller than the sum of its proper divisors (365898960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146121840 is a wasteful number, since it uses less digits than its factorization.

146121840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 146121840 is about 12088.0866972404. The cubic root of 146121840 is about 526.7101781780.

The spelling of 146121840 in words is "one hundred forty-six million, one hundred twenty-one thousand, eight hundred forty".